Low regularity global solutions for nonlinear evolution equations of Kirchhoff type (Q884365)

The author establishes global-in-time existence results under very weak regularity requirements on the initial data. The consideration of low regularity solutions is quite natural in musical applications, where a typical initial configuration is the so-called plucked string, corresponding to a triangle shaped function. Thus the author considers the solutions below the regularity threshold which makes finite some positive functional conserved by time evolution.